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28481329152 = 211328318617
BaseRepresentation
bin11010100001100111…
…101001100000000000
32201111220122102121200
4122201213221200000
5431312210013102
621030101421200
72025536206023
oct324147514000
981456572550
1028481329152
1111095a71161
12562a40a800
1328bb8666b3
1415428851ba
15b1a64251c
hex6a19e9800

28481329152 has 144 divisors (see below), whose sum is σ = 83254855320. Its totient is φ = 9378889728.

The previous prime is 28481329141. The next prime is 28481329183. The reversal of 28481329152 is 25192318482.

28481329152 is a `hidden beast` number, since 2 + 8 + 481 + 32 + 91 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×284813291522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28481329098 and 28481329107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1520548 + ... + 1539164.

Almost surely, 228481329152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28481329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41627427660).

28481329152 is an abundant number, since it is smaller than the sum of its proper divisors (54773526168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28481329152 is a wasteful number, since it uses less digits than its factorization.

28481329152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18728 (or 18705 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 28481329152 in words is "twenty-eight billion, four hundred eighty-one million, three hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2048 2304 2656 2988 3072 3984 4608 5312 5976 6144 7968 9216 10624 11952 15936 18432 18617 21248 23904 31872 37234 42496 47808 55851 63744 74468 84992 95616 111702 127488 148936 167553 169984 191232 223404 254976 297872 335106 382464 446808 509952 595744 670212 764928 893616 1191488 1340424 1529856 1545211 1787232 2382976 2680848 3090422 3574464 4635633 4765952 5361696 6180844 7148928 9271266 9531904 10723392 12361688 13906899 14297856 18542532 19063808 21446784 24723376 27813798 28595712 37085064 38127616 42893568 49446752 55627596 57191424 74170128 85787136 98893504 111255192 114382848 148340256 171574272 197787008 222510384 296680512 343148544 395574016 445020768 593361024 791148032 890041536 1186722048 1582296064 1780083072 2373444096 3164592128 3560166144 4746888192 7120332288 9493776384 14240664576 28481329152